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Finding the Fourth Proportional to 100,446.88, 138,710.06 and 64,698.34

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Solution

The fourth proportional to 100,446.88, 138,710.06 and 64,698.34 is: 89,343.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,446.88 : 138,710.06 = 64,698.34 : x
  2. Step 2: Convert to fraction form
    100,446.88/138,710.06 = 64,698.34/x
  3. Step 3: Cross multiply
    100,446.88x = 138,710.06 × 64,698.34
  4. Step 4: Simplify right side
    100,446.88x = 8,974,310,299.81
  5. Step 5: Solve for x
    x = 8,974,310,299.81/100,446.88
  6. Step 6: Final answer
    x = 89,343.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.